No, the left hand should not be squared. It's a special property of the Poisson process that applies to the numbers, not the units.
Both sides are unitless: sales is not in dollars but the number of sales.
The units are actually rates: sales per day.
The second method won't work if the sales do not follow a Poisson distribution, for instance a product will have better sales at launch and during advertising campaigns. The sales figures don't always float around a constant average.
Also, I hadn't checked the math on the second method but the units don't add up.
On the LHS, you have [sales / pixel]x[pixels] = [sales]
On the RHS, you have ([sales / pixel]x[pixels])² = [sales]²
IIRC, the left hand side should be squared.